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8_murik_8 [283]
3 years ago
15

The displacement of a particle on a vibrating string is given by the equation s(t)=3+ \frac{1}{5} sin (3πt)

Mathematics
1 answer:
aliina [53]3 years ago
6 0

Answer:

  v(t)=\dfrac{3\pi}{5}\cos{(3\pi t)}

Step-by-step explanation:

The velocity is the derivative of position.

  s(t)=3+ \dfrac{1}{5} \sin{(3\pi t)}\\\\v(t)=s'(t)=\dfrac{1}{5}(3\pi)\cos{(3\pi t)}\\\\\boxed{v(t)=\dfrac{3\pi}{5}\cos{(3\pi t)}}

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First of all we know the Absolute Value Function that is:

\left | x \right |= \left \{ {{x \ \ \ \ x \geq 0} \atop {-x \ \ \ \ x\ \textless \ 0}} \right.

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From the equation:

y=\left | x+2 \right |-3

The term:

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4 0
3 years ago
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Leya [2.2K]
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6 0
4 years ago
Select the correct answer from each drop-down menu.
Alenkasestr [34]

Answer:

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Step-by-step explanation:

Given:

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See the attached figure.

<u>Another solution:</u>

By substitution of y from the second equation at the first equation.

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At (2): and solve for x

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The general solution of the quadratic equation:

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∴x=\frac{-(-11) \pm \sqrt{(-11)^2-4*2*12} }{2*2}=\frac{11 \pm \sqrt{25} }{4} =\frac{11 \pm 5}{4} \\x = \frac{11+5}{4} = \frac{16}{4}=4\\  OR \  x = \frac{11-5}{4}=\frac{6}{4}=1.5\\

∴ at x = 4       ⇒ y = 0.5 (4-x) = 0.5 * 0 = 0

And at x = 1.5 ⇒ y  = 0.5 (4-x) = 0.5 * ( 4 - 1.5 ) = 0.5 * 2.5 = 1.25

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